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Finding the Third Proportional to 24,408 and 46,237.50

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Solution

The third proportional to 24,408 and 46,237.50 is: 87,590.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,408 : 46,237.50 = 46,237.50 : x
  2. Step 2: Convert to fraction form
    24,408/46,237.50 = 46,237.50/x
  3. Step 3: Cross multiply
    24,408x = 46,237.50 × 46,237.50
  4. Step 4: Simplify right side
    24,408x = 2,137,906,406.25
  5. Step 5: Solve for x
    x = 2,137,906,406.25/24,408
  6. Step 6: Final answer
    x = 87,590.40

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.